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Finding the Fourth Proportional to 10,169.84, 15,241.16 and 4,319.12

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Solution

The fourth proportional to 10,169.84, 15,241.16 and 4,319.12 is: 6,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.84 : 15,241.16 = 4,319.12 : x
  2. Step 2: Convert to fraction form
    10,169.84/15,241.16 = 4,319.12/x
  3. Step 3: Cross multiply
    10,169.84x = 15,241.16 × 4,319.12
  4. Step 4: Simplify right side
    10,169.84x = 65,828,398.98
  5. Step 5: Solve for x
    x = 65,828,398.98/10,169.84
  6. Step 6: Final answer
    x = 6,472.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.